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Finding the Fourth Proportional to 322,232, 483,450.72 and 135,193.28

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Solution

The fourth proportional to 322,232, 483,450.72 and 135,193.28 is: 202,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,232 : 483,450.72 = 135,193.28 : x
  2. Step 2: Convert to fraction form
    322,232/483,450.72 = 135,193.28/x
  3. Step 3: Cross multiply
    322,232x = 483,450.72 × 135,193.28
  4. Step 4: Simplify right side
    322,232x = 65,359,288,555.16
  5. Step 5: Solve for x
    x = 65,359,288,555.16/322,232
  6. Step 6: Final answer
    x = 202,833.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.